2020/11/11 by Chen, Tingting, Zhang, Xiande
#FOS: Computer and information sciences #Information Theory (cs.IT)
paper · doi:10.48550/arxiv.2011.05634
Maximum Distance Separable (MDS) codes with a sparse and balanced generator matrix are appealing in distributed storage systems for balancing and minimizing the computational load. Such codes have been constructed via Reed-Solomon codes over large fields. In this paper, we focus on small fields. We prove that there exists an [n,k]q MDS code that has a sparse and balanced generator matrix for any q≥ n provided that n≤ 2k, by designing several algorithms with complexity running in polynomial time in k and n.